We give several results on necessary and sufficient conditions for the existence of special classes of maps from one shift of finite type onto another of the same entropy. The classes we study include eventual right closing maps, common right closing extensions, and stable right…
This work is a study in the local differential geometry of a metric space [italic]M which has an "isolated conical singularity" at a point [italic]P; this means that [italic]M⁰ = [italic]M - {[italic]P} is a Riemannian [italic]n-manifold, and that near [italic]P the metric is, i…
This memoir describes the generic bifurcations from symmetric fixed points of families of involutory area preserving maps defined in the plane.
This extensive paper is concerned with the implications of the existence of a given finite invariant set in a continuous map of an interval. Reductions of patterns are introduced, a combinatorial shadowing theorem is proved, the relations between positive and negative representa…
